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Fractional vortices : ウィキペディア英語版
Fractional vortices
In a standard superconductor, described by a complex field fermionic condensate wave function (denoted |\Psi|e^), vortices carry quantized magnetic fields because the condensate wave function |\Psi|e^ is invariant to increments of the phase \phi by 2\pi. There a winding of the phase by 2\pi creates a vortex which carries one flux quantum. See quantum vortex.
The term Fractional vortex is used for two kinds of very different quantum vortices which occur when:
(i) A physical system allows phase windings different from 2\pi \times \mathit, i.e. non-integer or fractional phase winding. Quantum mechanics prohibits it in a uniform ordinary superconductor, but it becomes possible in an inhomogeneous system, for example, if a vortex is placed on a boundary between two superconductors which are connected only by an extremely weak link (also called a Josephson junction); such a situation also occurs in some cases in polycrystalline samples on grain boundaries etc. At such superconducting boundaries the phase can have a discontinuous jump. Correspondingly, a vortex placed onto such a boundary acquires a fractional phase winding hence the term fractional vortex. A similar situation occurs in Spin-1 Bose condensate, where a vortex with \pi phase winding can exist if it is combined with a domain of overturned spins.
(ii) A different situation occurs in uniform multicomponent superconductors which allow stable vortex solutions with integer phase winding 2\pi N, where N= \pm 1, \pm 2, ... , which however carry arbitrarily fractionally quantized magnetic flux.〔Egor Babaev, (Vortices with Fractional Flux in Two-Gap Superconductors and in Extended Faddeev Model ) Phys. Rev. Lett. 89 (2002) 067001.〕
== (i) Vortices with non-integer phase winding ==


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